9 replies to this topic

[chuckles]

This is a logic puzzle that your grandfather might have got you to do when you were young. Imagine that you have the layouts of 4 coloured cubes, named A, B, C and D. When the cubes are placed in (alphabetical) order in a straight line, and it is viewed from any horizontal or vertical position (front, back, top, bottom, left, right), there are always four different colours seen.
Given that when I pick a corner of A, the 3 sides connected to it read "653", find the same orientation of B, C and D as 1 string of numbers. For example, "152421563".

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[bonanova]

Clarification needed:

Usually the cubes are stacked, so that 4 faces are seen [apart from the ends]
and the idea is that each of the four sets of 4 faces show all four colors.

Are you posing the problem in such a way that all 6 faces of the four cubes
are visible, and the six sets of 4 faces show all four colors? Sounds like you
are, and that makes for an interesting puzzle. Will look at it more tonight.

Good one.

[spoxjox]

Imagine that you have the layouts of 4 coloured cubes, named A, B, C and D. When the cubes are placed in (alphabetical) order in a straight line, and it is viewed from any horizontal or vertical position (front, back, top, bottom, left, right), there are always four different colours seen.

I don't understand what this means. If I put four cubes in a row and then look from the side, I can see one cube, not four. Ergo, one color, not four.

Given that when I pick a corner of A, the 3 sides connected to it read "653", find the same orientation of B, C and D as 1 string of numbers. For example, "152421563".

Not a clue as to what this is supposed to mean.

[bonanova]

Given that when I pick a corner of A, the 3 sides connected to it read "653", find the same orientation of B, C and D as 1 string of numbers. For example, "152421563".

Not a clue as to what this is supposed to mean.

If A is oriented so that sides 653 are seen from some corner, orient B so that 152 are seen on the corresponding corner, 431 are seen on that corner of C, and 453 are seen on the corresponding corner of D. That's the notation he's asking for [but use the actual face numbers from your solution, not 152 421 and 563.]

I'm pretty sure he's asking that the top faces need to be different colors; same for the bottom, front, back, left and right faces.

[chuckles]

Clarification needed:

Usually the cubes are stacked, so that 4 faces are seen [apart from the ends]
and the idea is that each of the four sets of 4 faces show all four colors.

Are you posing the problem in such a way that all 6 faces of the four cubes
are visible, and the six sets of 4 faces show all four colors? Sounds like you
are, and that makes for an interesting puzzle. Will look at it more tonight.

Good one.

Thats correct and your deffinetly on the right track. Whoever can correctly give me the 9 correct digits in order by lets say the last day of this month, Id personally like to give them $1 USD direct to there paypal account! This is just for fun and I hope this allowed to be said. If the correct answer is stated b4 the end of this year ill more the gladly send the $1 for the work of solving it. Good luck to all and ill personally ask for your paypal email in pm to give you the $1. (Hope I havent said anything not allowed on this forum and im just trying to create more fun) Thanx peeps.

[rookie1ja]

Hope I havent said anything not allowed on this forum and im just trying to create more fun

that's ok with me

[bonanova]

I believe your money is safe.

Spoiler for solution

Fix A = 653.
Only two orientations of D differ on all six faces: 142 and 432.

For D = 142, only two orientations for C differ on all six faces: 615 and 513.
No orientation of B differs on all six faces for either of these cases.

For D = 432, only one orientation for C differs on all six faces: 265.
No orientation of B differs on all six faces for this case.

-A- -B- -C- -D-	-A- -B- -C- -D-	 
653 xxx xxx 142	653 xxx xxx 432
653 xxx 615 142	653 xxx 265 432 
Nothing for B	  Nothing for B
or
653 xxx 513 142
Nothing for B

Translating numbers to colors, these positions correspond to:

-A- -B- -C- -D-	-A- -B- -C- -D-	 
BRW xxx xxx RWR	BRW xxx xxx WGR
BRW xxx WGG RWR	BRW xxx RWG WGR 
Nothing for B	  Nothing for B
or
BRW xxx GGB RWR
Nothing for B

If this analysis is correct, Cube B is wrongly defined.

[chuckles]

I do apologise as "D2" should be coloured blue. Yes number 2 on box "D" should be blue ..i didnt realise there was 7 reds and five blues! So D2 please refrain to be blue.

[bonanova]

Spoiler for solution

543561126

If I had counted, my first reply would have been quicker.
Nice puzzle.

[chuckles]

Good job bonanova! Puzzle over